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Marizza181 [45]
3 years ago
12

How many solutions does the equation have?

Mathematics
1 answer:
Lunna [17]3 years ago
6 0
6x + 3 = 3 + 6x
0 = 0

many solutions

answer
infinitely many
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Can someone help me with factoring? 4x^3 + 43x^2 + 30x
Sergio039 [100]
4x^{3}+43x^2+30x
First in factoring, you must find out what is common in the whole equation
x(4x^2+43x+30)
Now, make 2 sets of parentheses and "split up" the rest of the equation
Try to experiment which numbers work out
We are not subtracting anything so both parentheses are positive
x(4x+3)(x+10)
Therefore, the factored version of 4x^3+43^2+30x is
x(4x+3)(x+10)
5 0
3 years ago
Find the length to the nearest centimeter of the diagonal of a square 30 cm. on a side
tiny-mole [99]

Answer:

42 cm.

Step-by-step explanation:

Please find the attachment.

Let x be the length of diagonal of the square.

We have been given that length of each side of a square is 30 cm. We are asked to find the length of the diagonal of square to the nearest centimeter.

We can see from our diagram that triangle AC is the diagonal of our square.

Since all the interior angles of a square are right angles or equal to 90 degrees, so we will use Pythagoras theorem to find the length of diagonal.

AC^2=AD^2+DC^2  

Upon substituting our given values in above formula we will get,

x^2=(30\text{ cm})^2+(30\text{ cm})^2

x^2=900\text{ cm}^2+900\text{ cm}^2

x^2=1800\text{ cm}^2

Let us take square root of both sides of our equation.

x=\sqrt{1800\text{ cm}^2}

x=42.4264\text{ cm}\approx 42\text{ cm}

Therefore, the length of diagonal of our given square is 42 cm.

8 0
3 years ago
The following are the temperatures in °C for the first 14 days of January:
sergey [27]

Answer:

Hey! First you will put the numbers in order least to greatest. So it would be -4.5, -4, -3.5, -2, -1, 0, 1.5, 2, 2.5, 4, 6. 0 is the median because it in in the middle here’s how. You cross out -4.5 and 6 then 4 and -4 then -3.5 and 2.5 then 2 and -2 then -1 and 1.5 and you’re left with just the 0! Hope this helped.

Step-by-step explanation:

3 0
2 years ago
Freight cars on some trains can each haul 60 tons of cargo. How many 500​-pound containers can be hauled by this type of freight
zavuch27 [327]

Answer:240 500 pounds containers

Step-by-step explanation:

Each ton is 2000 pounds.? Convert 60 tons to pounds to get 120000 pounds and then divide it by 500

5 0
3 years ago
Given:
Masja [62]

Answer:

9

Step-by-step explanation:

By joining N to L, you will have a right angled triangle which is right angle at N. Then r^2+36=(3+x)^2. r=9/2. PQ=2r=9

8 0
3 years ago
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